Conversion between CAD models and generalized expo-rational B-spline surfaces

Abstract

The proposed method demonstrates the conversion between a NURBS model and a generalized expo-rational B-spline (GERBS) surface with the aim of utilizing special combined expo-rational basis functions in finite element analysis.<p>

<p>To achieve the transformation from a NURBS patch to a GERBS surface element, a linear extraction operator is employed. This operator maps the local combined expo-rational basis functions to the B-spline basis and vice versa.<p>

<p>The novelty of this paper lies in the conversion of the exact geometry modeled in CAD software to the GERBS surface.<p>

<p>As an example of the application of the proposed method, we utilize the finite element analysis approach to solve a linear elasticity problem on a 2D computational domain constructed by converting the NURBS surface to the GERBS surface.